10 citations · 34 across the 20 of their papers we have counts for
4 papers · 1 filter
Cores of imprimitive symmetric graphs of order a product of two distinct primes
Ricky Rotheram, Sanming Zhou
A retract of a graph is an induced subgraph of such that there exists a homomorphism from to whose restriction to is the identity map. A graph is a core if…
Classification of tetravalent -transitive non-normal Cayley graphs of finite simple groups
Xin Gui Fang, Jie Wang, Sanming Zhou
A graph is called -arc-transitive if is transitive on the set of vertices of and the set of -arcs of , where for an integer …
Perfect codes in Cayley graphs
He Huang, Binzhou Xia, Sanming Zhou
Given a graph , a subset of is called a perfect code in if every vertex of is at distance no more than one to exactly one vertex in , and a subset of $…
Vertex-imprimitive symmetric graphs with exactly one edge between any two distinct blocks
Teng Fang, Xin Gui Fang, Binzhou Xia +1
A graph is called -symmetric if it admits as a group of automorphisms acting transitively on the set of ordered pairs of adjacent vertices. We give a classification of $…